Block 1 and Block 2 have the same mass, m, and are released from the top of two inclined planes of the same height making 30o and 60o angles with the horizontal directoin, respectively. If the coefficient of friction is the same in both cases, which of the blocks is going slower when it reaches the bottom of its respective incline? Both blocks have the same speed at the bottom. Block 2 is slower More information is needed to know which block is faster. Block 1 is slower
Question
Block 1 and Block 2 have the same mass, m, and are released from the top of two inclined planes of the same height making 30o and 60o angles with the horizontal directoin, respectively. If the coefficient of friction is the same in both cases, which of the blocks is going slower when it reaches the bottom of its respective incline? Both blocks have the same speed at the bottom. Block 2 is slower More information is needed to know which block is faster. Block 1 is slower
Solution
The speed of the blocks when they reach the bottom of the inclines depends on the work done by friction, which in turn depends on the distance traveled. The distance traveled by each block is the length of the incline, which is greater for the block on the steeper incline (Block 2). Therefore, more work is done by friction on Block 2, which means it has less kinetic energy (and thus less speed) when it reaches the bottom. So, Block 2 is slower.
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